- #1

phrygian

- 80

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## Homework Statement

Suppose that P, Q, and R are regions in R2, and suppose T1 : P -> Q and T2 : Q -> R are

dierentiable. Use the (multivariable) Chain Rule and det(AB) = det(A)det(B) to show that the Jacobian of the

composition T2 o T1 is the product of the Jacobians of T1 and T2.

## Homework Equations

## The Attempt at a Solution

So if I say T1 is given by x = g(u,v) and y = h(u,v) and T2 is given by u = i(s,t) and v = j(s,t) , I know how to find the two jacobians T1 and T2 but am confused how do you find the jacobian of the composite transformation T1 o T2?